Abstract
Lagrangian displacement and magnetic field perturbation response to the geodesic acoustic mode is analyzed by using the ideal magnetohydrodynamic equations in a large-aspect-ratio tokamak. δBθ, the poloidal component of magnetic field perturbation, has poloidal wave number m = 2 created by the poloidal displacement ξθ. The parallel perturbation of magnetic field, δB∥, has a poloidally asymmetric structure with m = 1 and is on the same order of magnitude with δBθ to the leading order. The radial displacement ξr is of order O(βϵξθ) but plays a significant role in determining δB∥, where β is the plasma/magnetic pressure ratio and ϵ is the inverse aspect ratio.
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